[Solution] The Bunker Manufacturing firm has five employees and six machines and wants to assign the employees to the machines to minimize cost. A cost
| Question: |
Problem: The Bunker Manufacturing firm has five employees and six machines and wants to assign the employees to the machines to minimize cost. A cost table showing the cost incurred by each employee on each machine follows:
| Machine | ||||||
| Employee | A | B | C | D | E | F |
| 1 | 12 | 7 | 20 | 14 | 8 | 10 |
| 2 | 10 | 14 | 13 | 20 | 9 | 11 |
| 3 | 5 | 3 | 6 | 9 | 7 | 10 |
| 4 | 9 | 11 | 7 | 16 | 9 | 10 |
| 5 | 10 | 6 | 14 | 8 | 10 | 12 |
Because of union rules regarding departmental transfers, employee 3 cannot be assigned to machine E, and employee 4 cannot be assigned to machine B. Solve this problem, indicate the optimal assignment, and compute total minimum cost.
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